Question

Use the graph below to answer the question that follows:

What is the average rate of change between the interval of x = 0 and x = pi/2?

A) 2/pi

B) pi/2

C) pi/4

D) 4/pi

Answer 1

D is the answer............................

Answer 2

the correct answer is option D.

Explanation:

average rate of change in the graph in interval x = 0 and x = pi/2

when we look into the graph between interval x = 0 and x = pi/2

we can see that on y - axis

at x = 0 value of y = 3 and

at x = π/2 value of y = 5

rate of change =
`(change\ in y-axis)/(change\ in\ x-axis)`

=
`(y_2-y_1)/(x_2- x_1)`

=
`(5-3)/((\pi)/(4) - 0)`

= 4/π

hence, the correct answer comes out to be 4/π

hence, the correct answer is option D.